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28301300 = 2252377649
BaseRepresentation
bin110101111110…
…1011111110100
31222020212002022
41223331133310
524221120200
62450332312
7462362036
oct153753764
958225068
1028301300
1114a80205
12958a098
135b2ba41
143a89c56
152740885
hex1afd7f4

28301300 has 36 divisors (see below), whose sum is σ = 63081900. Its totient is φ = 11013120.

The previous prime is 28301281. The next prime is 28301309. The reversal of 28301300 is 310382.

It can be written as a sum of positive squares in 6 ways, for example, as 1136356 + 27164944 = 1066^2 + 5212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28301309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125 + ... + 7524.

It is an arithmetic number, because the mean of its divisors is an integer number (1752275).

Almost surely, 228301300 is an apocalyptic number.

28301300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540950).

28301300 is an abundant number, since it is smaller than the sum of its proper divisors (34780600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28301300 is a wasteful number, since it uses less digits than its factorization.

28301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 28301300 is about 5319.8966155368. The cubic root of 28301300 is about 304.7442090807.

Adding to 28301300 its reverse (310382), we get a palindrome (28611682).

The spelling of 28301300 in words is "twenty-eight million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 7649 15298 30596 38245 76490 152980 191225 283013 382450 566026 764900 1132052 1415065 2830130 5660260 7075325 14150650 28301300